Answer :
Given:
A cook has a scoop that measures [tex]dfrac{1}{4}[/tex] cup.
Required sugar for bread recipe = [tex]1\dfrac{1}{4}[/tex] cups
Required flour for bread recipe = [tex]2\dfrac{1}{2}[/tex] cups
To find:
The total number of scoops of both ingredients does the cook put into the bowl.
Solution:
Required amount of sugar and flour for the bread recipe is
[tex]=1\dfrac{1}{4}+2\dfrac{1}{2}[/tex]
[tex]=\dfrac{1\times 4+1}{4}+\dfrac{2\times 2+1}{2}[/tex]
[tex]=\dfrac{4+1}{4}+\dfrac{4+1}{2}[/tex]
[tex]=\dfrac{5}{4}+\dfrac{5}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{5+10}{4}[/tex]
[tex]=\dfrac{15}{4}[/tex]
Now,
[tex]\text{Number of scoops}=\dfrac{\text{Total amount of sugar and flour}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{\dfrac{15}{4}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{15}{4}\times \dfrac{4}{1}[/tex]
[tex]\text{Number of scoops}=15[/tex]
Therefore, the required number of scoops is 15.